Answer:
The tennis ball reaches the maximum after 5seconds
Explanation:
If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.
Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;
V = dh/dt = -32t+160
at maximum height;
0 = -32t+160
32t = 160
t = 160/32
t = 5seconds
This means that the tennis ball reaches the maximum after 5seconds.